Object Particles not rendering
You use Emitter particles for your static particle crystals (&quot;sprinkles&quot;). For static particles that don't change their position like grass, trees, sprinkles, sesame seeds on a burger, ... it's better to use Hair particles. They are static and always dead.
Emitter particles are used for animation mainly. For birds, fishes, moths, dust, and fluid. They have a lifetime and die.
Looks like you knew that and have made the settings accordingly: Only 1 frame animation and set Frame Start and End to 1, lifetime 1. Unfortunately, it does not work because in frame 1 the particles are still unborn and not rendered by default. The nasty thing is that you see them in the viewport.
Possible fixes:

use particle type Hair. You need to apply the scale of the instance object and scale it up a bit. For some reason, the particles are smaller when rendered as Hair.
or set Frame Start and End to 0
or tick the checkbox Render &gt; Extras &gt; Unborn in particle settings
or render frame 2 and tick the checkbox Render &gt; Extras &gt; Dead in particle settings
or use particle type Hair ;-)